What are the values of x that satisfy the equation x2 + 4x - 1 = 0?

The products written in scientific notation are:

a) \(5.88*10^9\)

b) \(15*10^{12}\\\)

c) \(8.4*10^{-10}\)

d) \(42*10^{-7}\)

The first product we need to solve is:

\((4.2*10^6)*(1.4*10^3)\)

We can reorder that product into the one below:

\((4.2*1.4)*(10^6*10^3)\)

The exponents in the right side are added, so we get:

\((4.2*1.4)*(10^6*10^3) = 5.88*10^{3 + 6} = 5.88*10^9\)

Now let's do the same in the others.

b)

\((5*10^5)*(3*10^7)\\= 5*3*10^{5 + 7}\\= 15*10^{12}\\\)

Now we need to write the first number between 0 and 10, then we can rewrite this as:

\(1.5*10^{13}\)

c) Again doing the same thing.

\((4*10^{-3})*(2.1*10^{-7}})\\= 4*2.1*10^{-3 - 7}\\= 8.4*10^{-10}\)

d) Finally, this last product is:

\((6*10^{-2})*(7*10^{-5}})\\= 6*7*10^{-2 - 5}\\= 42*10^{-7}\)

Again we need to have a number between 0 and 10, so we can rewrite this as:

\(4.2*10^{-8}\)

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Henry's money earned a simple interest of $32.50 over 6 months.

Henry Bonnacio deposited $1,000 in a new savings account at First National Bank with an annual interest rate of 6 1/2 percent. To calculate the simple interest earned on his deposit, we can use the formula:

Simple Interest = (Principal * Rate * Time) / 100

In this case, the principal is $1,000, and the rate is 6 1/2 percent, or 6.5% in decimal form. However, the interest is computed after 6 months, so we need to adjust the time accordingly.

Since the rate is annual, we divide it by 12 to get the monthly rate, and then multiply it by 6 (months) for the actual time:

Rate per month = 6.5% / 12 = 0.0054167

Time = 6 months

Now we can calculate the simple interest:

Simple Interest = (1000 * 0.0054167 * 6) / 100 = 32.50

Therefore, Henry's money earned a simple interest of $32.50 over 6 months.

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The planes are approximately 1031 miles from each other 2 hours after takeoff. To solve this problem, we need to use trigonometry to find the distance between the two planes after 2 hours of flight. We can use the law of cosines to find the distance between the two planes.

First, we need to find the distances each plane has traveled after 2 hours. The plane traveling on a bearing S 13° W has traveled:

d1 = 450 miles/hour * 2 hours = 900 miles

The plane traveling on a bearing N 75° E has traveled:

d2 = 250 miles/hour * 2 hours = 500 miles

Now we can use the law of cosines to find the distance between the two planes:

d^2 = d1^2 + d2^2 - 2*d1*d2*cos(103°)

d^2 = 900^2 + 500^2 - 2*900*500*cos(103°)

d^2 = 810,000 + 250,000 - 900,000*(-0.287)

d^2 = 1,060,433

d = 1030.9 miles

Therefore, the planes are approximately 1031 miles from each other 2 hours after takeoff.

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Answer:

$0.25

Step-by-step explanation:

So total of 5.25 after tax Sorry if i am wrong am pretty sure this is correct.

Answer:

a) 63

Step-by-step explanation:

Thus, the computer was initially worth $3340 as the PC will be worth $835 after six years.

In mathematics, the unitary approach entails determining the value of a single unit in a certain circumstance and using that value to resolve other issues that are connected to it. It is a quick and efficient method for handling issues involving direct proportion, indirect proportion, and other circumstances of a same nature. In disciplines including mathematics, science, business, and engineering, the unitary technique is widely employed.

given

Let V be the computer's starting value.

The computer's value drops to V/2 after four years.

The computer's value is decreased to V/2 1/2 = V/4 after six years.

We are informed that the PC will be worth $835 after six years. When we set this equal to V/4, we obtain:

V/4 = 835

Adding 4 to both sides results in:

V = 4 × 835 = $3340

Thus, the computer was initially worth $3340 as the PC will be worth $835 after six years.

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The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

A quadrilateral is a shape with four straight sides. The trapezoid is a quadrilateral with only one pair of parallel sides.

An isosceles trapezoid is a trapezoid with two of the sides having the same length.

It can be proven that a quadrilateral is either a rectangle or an isosceles trapezoid by the following statement:

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

If a quadrilateral has perpendicular diagonals and one pair of opposite sides that are parallel, then it can be either a rectangle or an isosceles trapezoid.

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Answer:

Step-by-step explanation:

(-3, -6) (2, -2)

(-2 + 6)/(2 + 3) = 4/5

y + 6 = 4/5(x + 3)

y + 6 = 4/5x + 12/5

y + 30/5 = 4/5x + 12/5

y = 4/5x - 18/5

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

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The efficiency of a CSMA/CD-like multiple access protocol can be derived based on the given parameters. The protocol operates by nodes contending for the channel and transmitting frames in slots.

To derive the efficiency of the CSMA/CD-like multiple access protocol, we need to consider the contention and transmission behavior of the nodes. In a slot, if a node has not acquired the channel, all nodes contend with a probability p. If exactly one node transmits in that slot, it keeps possession of the channel for the next k slots to transmit an entire frame. Other nodes refrain from transmitting until the ongoing transmission completes.

The efficiency of the protocol is determined by the successful transmissions over the total available time. Considering the slot length (S), frame length (L), transmission rate (R), and the number of nodes (N), we can calculate the probability of successful transmission and the expected time for each transmission.

Efficiency can be defined as the ratio of the time spent in successful transmissions to the total available time. It depends on parameters such as the contention probability, number of nodes, frame length, and transmission rate. The efficiency formula will involve calculating the probability of a successful transmission, taking into account the contention behavior and the possession of the channel by a node.

By analyzing the protocol's operation and considering these factors, the efficiency of the CSMA/CD-like multiple access protocol can be derived and expressed as a mathematical formula or percentage.

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c that what I think

Step-by-step explanation:

-12÷2=y

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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Answer:

16.7%

Step-by-step explanation:

1/6 as a percent is 16.67 and to round to the nearest tenth would make that number 16.7

Answer:

0.2

Step-by-step explanation:

8 is bigger than 5 so we will make 8 zero and will will add 1 to the next number

Answer:

0.2

Step-by-step explanation:

Hope this helps

~~Wdfads~~

Answer:

20

Step-by-step explanation:

180 g of flour=18 fingers

180/18= 10

10 g of flour makes 1 finger

10 g of flour × 20 = 20 fingers

Four Answers:

====================================================

Explanation:

A rational number is any fraction of two whole numbers.

Examples: 7/9 and -8/12

This can be extended to some numbers like \(\sqrt{49}\) because

\(\sqrt{49} = \sqrt{7^2} = 7 = \frac{7}{1}\)

As you can see, any whole number is also rational but not the other way around.

So far, these examples help show that choices A, C, D, and J are rational numbers. Choice D might need a bit of rewriting like so:

\(\frac{0.5}{8} = 0.5 \div 8\\\\ = \frac{1}{2} \div \frac{1}{8} \\\\= \frac{1}{2} \times \frac{8}{1}\\\\ = \frac{8}{2}\\\\ = 4\)

In short, the expression for choice D simplifies to 4 = 4/1 showing that is rational. Or you can use the shortcut that rational/rational = rational.

------------------

A number like \(\sqrt{13}\) is NOT rational because the 13 is not a perfect square. There's no way to rewrite that square root as a ratio or fraction of integers. This allows us to rule out choice B. Choices E, F, and G are eliminated for similar reasoning.

Choice H is ruled out because circle areas involve pi = 3.14159... which is famously an irrational number. The proof of which is very lengthy to go over, but the short version is the decimal digits go on forever without a pattern. This is an informal way to check if we have an irrational number.

Choice I is only eliminated if and only if the side lengths of the square are rational, and also when the side lengths are whole numbers. Its not clear what your teacher's intentions here are, but I'll assume this is the case.

------------------

To summarize, we eliminated B, E, F, G, H, I

We're left with A, C, D, J as the final answers. They either can be written as fractions of integers, or already are fractions of integers.

Answer:75.00

Step-by-step explanation:750 x 5% x 2 = 75

Therefore , the solution of the given problem of expression comes out to be the multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.

Mathematical processes such as multiplying, dividing, adding, and even deleting are necessary. If they were combined, the following statement would result: An equation, some statistics, and a mathematical formula Values, components, and mathematical processes like additions, subtractions, algebraic expressions, and divisions make up a statement of truth. Words and sentences can be analysed and ranked.

Here,

a. Accurate. The commutative property of addition says that the sum remains constant regardless of the addends' order. As a result, -19+7 is equivalent to 7-19, which is equivalent to -12+19.

b. True. Any integer is itself when multiplied by 1. As a result, 4/5 + 1 equals 4/5.

c. Accurate. One is obtained by multiplying two reciprocals. As a result, 3/2 2/3 equals 32 23, which is reduced to 1.

d. Correct. The multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.

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To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:

So the hourly rate is $40.

Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:

So the initial fee is $15.

The probability of selecting a blue marble on the second draw is 0.56.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The probability of a red marble and then a blue marble = 0.28

The probability of selecting a red marble on the first draw=0.5

Now,

Let: A= the probability of selecting a red marble and then a blue marble. A B= the probability of selecting a red marble on the first draw.

PB|A=frac PA ∩ BP

=overline 0.5 =0.56 or__%

Therefore, probability of selecting a blue marble on the second draw, given that the first marble drawn was red will be 0.56.

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Answer: X= -3

Step-by-step explanation: If f(x)= 3x-1

then you would do the math 3x-1= -10

which makes out to be x= -3

Using tangents theorem, we can find the value of the missing length,

n = 18.7units.

"To touch" is how the word "tangent" is defined. The same idea is conveyed by the Latin word "tangere". A tangent, in general, is a line that, while never entering the circle, precisely touches it at one point on its circumference. A circle has a number of tangents. They make a straight angle with the radius.

Here in the diagram,

We can see that as per the central angle and tangent theorem,

AB/BC = ED/DC

⇒ 17/10 = n/11

Cross multiplying:

⇒ 17 × 11 = n × 10

⇒ 10n = 187

⇒ n = 187/10

⇒ n = 18.7

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Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Answer:

10

Step-by-step explanation:

since 2 inches apart and 12/6=2 so you do 60/6 witch is 10

The inference that is true is: About the same number of students spend 0-30 minutes on homework as spend 31-60 minutes.

To analyze the data from the survey, let's calculate the total number of students in each category of homework time:

For Sample 1:

Number of students spending 0-30 minutes: 38

Number of students spending 31-60 minutes: 42

Number of students spending 61-90 minutes: 20

For Sample 2:

Number of students spending 0-30 minutes: 41

Number of students spending 31-60 minutes: 36

Number of students spending 61-90 minutes: 23

Now, let's compare the number of students spending 0-30 minutes with those spending 31-60 minutes:

For Sample 1, there are 38 students spending 0-30 minutes, and 42 students spending 31-60 minutes.

For Sample 2, there are 41 students spending 0-30 minutes, and 36 students spending 31-60 minutes.

Comparing the two samples, we can see that in Sample 1, more students spend 31-60 minutes on homework than spend 0-30 minutes.

However, in Sample 2, more students spend 0-30 minutes on homework than spend 31-60 minutes.

Therefore, the inference that is true is: About the same number of students spend 0-30 minutes on homework as spend 31-60 minutes.

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Answer:

Felicia took 16 minutes to get home

Step-by-step explanation:

Because Courtney took 10 minutes and Felicia took 6 MORE minutes than Courtney:

     10 minutes (Courtney time)

+      6 minutes (How many more minutes Felicia took than Courtney)

_____________

16 minutes (Felicia's total time)

Answer:

16 minutes

Step-by-step explanation:

Courtney took 10 minutes

Felicia took 6 more minutes

(more is your keyword to add)

10+6=

16

Both Anorexia and Bulimia the rate of occurrence is high in females as compare to males so the choice is female to male ratio is 12  to 1.

Therefore, the rate of occurrence in females is much more than the males. Correct option is 12 to 1.

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Answer:

1032 / 43 is 24

Step-by-step explanation:

the picture shows it

The partial quotient of the expression 1032 ÷ 43 will be 24.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1032 ÷ 43

Simplify the equation, then we have

43 ) 1 0 3 2 ( 24

      - 8 6      

         1 7 2

       - 1 7 2

           0 0

The partial quotient of the expression 1032 ÷ 43 will be 24.

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The value of the double integral is 9/4.

To calculate the double integral of f(x, y) = xy over the region R = [0, 1] x [0, 3], follow these steps:

Set up the double integral: ∬R xy dA, with the given region R = [0, 1] x [0, 3].

Express dA in terms of dx and dy: ∬R xy dy dx.

Determine the limits of integration for x and y. The region R is given as [0, 1] x [0, 3], so x goes from 0 to 1 and y goes

from 0 to 3. Your integral now looks like this:

∫(from 0 to 1) ∫(from 0 to 3) xy dy dx

Integrate with respect to y:

∫(from 0 to 1) [(1/2)\(xy^2\) | (from 0 to 3)] dx = ∫(from 0 to 1) [(\(1/2)x(3^2\))] dx

Simplify the expression inside the integral:

∫(from 0 to 1) (9/2)x dx

Integrate with respect to x:

[(9/4)\(x^2\)| (from 0 to 1)]

Evaluate the integral at the limits of integration

[(9/4)(\(1)^2\)] - [(9/4)\((0)^2\)] = 9/4

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Answer:

this are the equation I was taught

Step-by-step explanation:

_(x2+4x+8)=0